Least Common Multiple (LCM) of 177 and 199
The least common multiple (LCM) of 177 and 199 is 35223.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 177 and 199?
First, calculate the GCD of 177 and 199 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 177 ÷ 199 = 0 remainder 177 |
| 2 | 199 ÷ 177 = 1 remainder 22 |
| 3 | 177 ÷ 22 = 8 remainder 1 |
| 4 | 22 ÷ 1 = 22 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 157 and 136 | 21352 |
| 133 and 66 | 8778 |
| 32 and 138 | 2208 |
| 51 and 131 | 6681 |
| 117 and 144 | 1872 |